elation
- 01 C2 Proficiency
a specific type of movement or change in geometry involving lines and points.
a collineation that fixes all points on a line (the axis) and all lines through a point on that axis (the center).
Simple“The professor explained how an elation differs from other geometric transformations.”
In context“In projective geometry, an elation is a central collineation where the center lies on the axis of the transformation.”
UsageUsed almost exclusively in the context of projective geometry.
From Middle English elacioun, from Old French elacion, from Latin ēlātiōnem, accusative singular of ēlātiō (“exaltation, elevation; pride, elation”), from ēlātus, perfect passive participle of efferō (“bring forth or out; raise; exalt”), from ē (“out of”), short form of ex, + ferō (“carry, bear”).
Etymology adapted from Wiktionary, available under CC BY-SA 4.0.